Search Results for author: Robert Cardona

Found 4 papers, 0 papers with code

The Universal $\ell^p$-Metric on Merge Trees

no code implementations22 Dec 2021 Robert Cardona, Justin Curry, Tung Lam, Michael Lesnick

Adapting a definition given by Bjerkevik and Lesnick for multiparameter persistence modules, we introduce an $\ell^p$-type extension of the interleaving distance on merge trees.

The periodic orbit conjecture for steady Euler flows

no code implementations3 Mar 2021 Robert Cardona

The periodic orbit conjecture states that, on closed manifolds, the set of lengths of the orbits of a non-vanishing vector field all whose orbits are closed admits an upper bound.

Dynamical Systems Differential Geometry

Constructing Turing complete Euler flows in dimension $3$

no code implementations23 Dec 2020 Robert Cardona, Eva Miranda, Daniel Peralta-Salas, Francisco Presas

Concerning fluid flows, Moore asked in [15] if hydrodynamics is capable of performing computations.

Dynamical Systems Computational Complexity Analysis of PDEs Symplectic Geometry

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